Non-relativistic Josephson junction from holography

作者:Li Huai Fan*; Li Li; Wang Yong Qiang; Zhang Hai Qing
来源:The Journal of High Energy Physics, 2014, 2014(12): 099.
DOI:10.1007/JHEP12(2014)099

摘要

We construct a Josephson junction in non-relativistic case with a Lifshitz geometry as the dual gravity. We investigate the effect of the Lifshitz scaling in comparison with its relativistic counterpart. The standard sinusoidal relation between the current and the phase difference is found for various Lifshitz scalings characterised by the dynamical critical exponent. We also find the exponential decreasing relation between the condensate of the scalar operator within the barrier at zero current and the width of the weak link, as well as the relation between the critical current and the width. Nevertheless, the coherence lengths obtained from two exponential decreasing relations generically have discrepancies for non-relativistic dual.

  • 出版日期2014-12-15
  • 单位山西大同大学; 兰州大学